K-Theory for Operator Algebras

Revised
ISBN: 978-0-521-63532-5
Verlag: Cambridge University Press

Buch, Englisch, Band 5, 320 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 528 g

Reihe: Mathematical Sciences Research Institute Publications

K-theory has helped convert the theory of operator algebras from a simple branch of functional analysis to a subject with broad applicability throughout mathematics, especially in geometry and topology, and many mathematicians of diverse backgrounds must learn the essential parts of the theory. This book is the only comprehensive treatment of K-theory for operator algebras, and is intended to help students, non-specialists, and specialists learn the subject. This book develops K-theory, the theory of extensions, and Kasparov's bivariant KK-theory for C*-algebras. Special topics covered include the theory of AF algebras, axiomatic K-theory, the Universal Coefficient Theorem, and E-theory. Although the book is technically complete, motivation and intuition are emphasized. Many examples and applications are discussed. This first paperback printing has been revised and expanded and contains an updated reference list.

Autoren/Hrsg.

Blackadar, Bruce

Levy, Silvio

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

1. Introduction to K-theory; 2. Preliminaries; 3. K-theory and order; 4. K1-theory and Bott periodicity; 5. K-theory of crossed products; 6. More preliminaries; 7. Theory of extensions; 8. Kasparov's KK-theory; 9. Further topics.